Nontriviality of the Linear Sigma Model

preprint1998arXivOpen access

Abstract

We consider techniques (based on an ultraviolet cutoff) used to prove that the pure boson (ϕ4)4ϕ^4)_4 field theory is trivial and apply them instead to the dynamically generated quark-level linear sigma model. This cutoff approach leads to the conclusion that the latter field theory is in fact nontrivial.

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